Different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions.
The number of ways are [tex]36^{6} - 26^{6} =1867866560[/tex]
Consider the provided information.
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Therefore,
[tex]36^{6} - 26^{6}[/tex]
Here [tex]36^{6}[/tex] shows all possible ways and [tex]26^{6}[/tex] shows only lower case.
[tex]36^{6} - 26^{6} =1867866560[/tex]
Hence, the number of ways are [tex]36^{6} - 26^{6} =1867866560[/tex]
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